H2 and H∞ control for jump systems with application to sampled-data systems

International Journal of Systems Science

Volumn 29, Issue 8, 1998, Pages 829-849

  Ichikawa, Akira ^a   Katayama, Hitoshi ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b OSAKA ELECTRO COMMUNICATION UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

POLES AND ZEROS; RICCATI EQUATIONS; SAMPLED DATA CONTROL SYSTEMS;

JUMP SYSTEMS; ZERO ORDER HOLD;

OPTIMAL CONTROL SYSTEMS;

EID: 0032137393     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729808929576     Document Type: Article

References (29)

1. 2 problem for sampled-data systems. Systems and Control Letters, 19, 1-12
2. Bamfhh, B. A., and Pearson, J. B 1992. A general framework for linear periodic systems with applications to H∞„ sampled-data systems. IEEE Transactions on Automatic Control. 37, 418-435.
3. Bensoussan, A., 1982, Stochastic Control by Functional Analysis Methods, Studies in Mathematics and its Applications (Amsterdam: North-Holland).
4. Bensoussan, A., Da Prato, G., Dei.four, M. C., and Mitter, S. K., 1992, Representations and Control of Infinite Dimensional Systems I (Boston, MA: Birkhtiuser)
5. Bensoussan, A., Da Prato, G., Dei.four, M. C., and Mitter, S. K., 1993, Representations and Control of Infinite Dimensional Systems II (Boston, MA: Birkhauser);
6. Chen, T, and Francis, B. A., 1995, Optimal Sampled-Data Control Systems (London: Springer-Verlag).
7. Da Prato, G., and Ichikawa, A., 1993, Optimal control for integro-differential equations of parabolic type. SIAM Journal on Control and Optimization, 31, 1167-1182.
8. 2 and H∞ „ control problems, IEEE Transactions on Automatic Control, 34, 831-847.
9. Green, M., and Limebeer, D, J. N., 1994, Linear Robust Control (Englewood Clilfs, NJ: Prentice-Hall).
10. Ichikawa, A., 1982, Quadratic control of evoluation equations with delays in control. SIAM Journal on Control and Optimization, 20, 645-668
11. pstability and exponential stability for a class of nonlinear semigroups. Nonlinear Analysis, Theory, Method and Applications, 8, 805-815
12. Ichikawa, A., 1995, H∞ control and filtering with initial uncertainty for time-varying systems. International Journal of Systems Science, 26, 1633-1657
13. 2 and H∞ control for sampled-data systems with first-order hold. Proceedings of the 35th Internationa! IEEE Conference on Decision and Control, Kobe, Japan, pp. 452-457.
14. Ichikawa, A., and Katayama, H., 1995, A jump system approach to H∞ control for sampled-data systems. Report C95-4, Department of Electrical and Electronic Engineering, Shizuoka University
15. Ichikawa, A., and Katayama, H 1996 a, Differential games for jump systems with application to sampled-data systems. Proceedings of the Seventh International Symposium on Dynamic Games and Applications, Hayama, Japan, pp. 326-341
16. Ichikawa, A., and Katayama, H 1996b, H∞ control for a general jump system with application to sampled-data systems. Proceedings of the 35th International IEEE Conference on Decision and Control, Kobe, Japan, pp. 446-451
17. Katayama, H., and Ichikawa, A., 1995a, H∞ filtering for systems with sampled observations. Proceedings of the International Conference on Control and Information, Hong Kong, PR China, pp. 361-366
18. 2-control for jump systems with application to sampled-data systems, Report C95-5, Department of Electrical and Electronic Engineering, Shizuoka University
19. Katayama, H., and Ichikawa, A 1996a, H∞ control with output feedback Tor time-varying discrete systems, International Journal of Control, 6, 1167-1178
20. Katayama, H., and Ichikawa, A 1996 b H∞ control for sampled-data systems with delayed observation. 1997 European Control Conference, Brussels, Belgium.
21. Katayama, H., Wanyoike, G., and Ichikawa, A., 1995, H∞ control for systems with jumps and sampled observation. Report C95-I, Department of Electrical and Electronic Engineering, Shizuoka University.
22. Khargonekar, P. P., and Sivashankar, N„ 1991, H∞ -optimal control for sampled-data systems. Systems and Control Letters, 17, 425-436.
23. Lakshmikantham, V., Bainov, D. D., and SiMEONOv, P. S., 1989, Theory of Impulsive Differential Equations (Teaneck, NJ: World Scientific).
24. Morari, M., and Zafiriou, E., 1989, Robust Process Control (Englewood Cliffs. NJ: Prentice-Hall).
25. 2-induced norm for linear systems with jumps and applications to sampled-data control, SIAM Journal on Control and Optimization, 32, 1128-1150.
26. Stoorvogel, A. A., 1992, The H∞ Control Problem: A Stale Space Approach (Englewood Cliffs, NJ: Prentice-Hall).
27. Sun, W., Nagpal, K. M., and Khargonekar, P. P., 1993, H∞ control and filtering for sampled-data systems, IEEE Transactions on Automatic Control, 38, 1162-1175.
28. Toivonen, H. T., 1991, Sampled-data control of continuous-time systems with an H∞ optimality. Automatica, 28, 45-54.
29. Wei, Q. F., Dayawansa, W. P., and Krishnaprasad, P. S., 1995, H∞ control for impulsive disturbances: a state space approach. Proceedings of the 1995 American Control Conference, Seattle, WA, pp. 4379-4383.